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Finding the Third Proportional to 16,999 and 37,396

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Solution

The third proportional to 16,999 and 37,396 is: 82,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999 : 37,396 = 37,396 : x
  2. Step 2: Convert to fraction form
    16,999/37,396 = 37,396/x
  3. Step 3: Cross multiply
    16,999x = 37,396 × 37,396
  4. Step 4: Simplify right side
    16,999x = 1,398,460,816
  5. Step 5: Solve for x
    x = 1,398,460,816/16,999
  6. Step 6: Final answer
    x = 82,267.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.